Atkin-Lehner |
2+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
46256j |
Isogeny class |
Conductor |
46256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-2960384 = -1 · 210 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- -4 2 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-92] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] [18:76:1] |
Generators of the group modulo torsion |
j |
-9604/59 |
j-invariant |
L |
10.058549885607 |
L(r)(E,1)/r! |
Ω |
1.0609102276102 |
Real period |
R |
2.3702641429578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23128l1 46256f1 |
Quadratic twists by: -4 -7 |